O is the centre of a circle and AB is the tangent to it touching at B. If OB = 3 cm. and OA = 5 cm, then the measure of AB in cm is (SSC CGL 1st Sit. 2016)
In a ΔABC, BC is extended upto D: ∠ACD = 120°, ∠B = 1/2∠A. Then ∠A is (SSC CGL 1st Sit. 2016)
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BE and CF are two altitudes of a triangle ABC. If AB = 6 cm, AC = 5 cm and CF = 4 cm, then the length of BE is (SSC CGL 1st Sit. 2016)
O is the orthocentre of ΔABC , and if ∠BOC = 110° then ∠BAC will be (SSC CGL 1st Sit. 2016)
If D, E and F are the mid points of BC, CA and AB respectively of the ΔABC then the ratio of area of the parallelogram DEFB and area of the trapezium CAFD is: (SSC CGL 1st Sit. 2015)
If a person travels from a point L towards east for 12 km and then travels 5 km towards north and reaches a point M, then shortest distance from L to M is: (SSC CGL 1st Sit. 2015)
G is the centroid of ΔABC. The medians AD and BE intersect at right angles. If the lengths of AD and BE are 9 cm and 12 cm respectively; then the length of AB (in cm) is? (SSC CGL 1st Sit. 2015)
If the measure of three angles of a triangle are in the ratio 2 : 3 : 5, then the triangle is: (SSC CGL 1st Sit. 2015)
Internal bisectors of ∠Q and ∠R of ΔPQR intersect at O. If ∠ROQ = 96° then the value of ∠RPQ is: (SSC CGL 1st Sit. 2015)
If the altitude of an equilateral triangle is 12√3 cm, then its area would be: (SSC CGL 1st Sit. 2015)
If the number of vertices, edges and faces of a rectangular parallelopiped are denoted by v, e and f respectively, the value of (v – e + f) is (SSC CGL 1st Sit. 2015)
If the three angles of a triangle are:
then the triangle is: (SSC CGL 1st Sit. 2015)
Let C_{1} and C_{2} be the inscribed and circumscribed circles of a triangle with sides 3 cm, 4 cm and 5 cm then area of C_{1} to area of C_{2} is (SSC CGL 1st Sit. 2015)
If a clock started at noon, then the angle turned by hour hand at 3.45 PM is (SSC CGL 1st Sit. 2015)
In a parallelogram PQRS, angle P is four times of angle Q, then the measure of ∠R is (SSC CGL 1st Sit. 2015)
Two chords of length a unit and b unit of a circle make angles 60° and 90° at the centre of a circle respectively, then the correct relation is (SSC CGL 1st Sit. 2015)
The sides of a triangle having area 7776 sq. cm are in the ratio 3 : 4 : 5. The perimeter of the triangle is (SSC CGL 1st Sit. 2015)
The measure of an angle whose supplement is three times as large as its complement, is (SSC CGL 1st Sit. 2015)
Two poles of height 7 m and 12 m stand on a plane ground. If the distance between their feet is 12 m, the distance between their top will be (SSC CGL 1st Sit. 2015)
A tangent is drawn to a circle of radius 6cm from a point situated at a distance of 10 cm from the centre of the circle.
The length of the tangent will be (SSC CGL 1st Sit. 2015)
In ΔABC, a line through A cuts the side BC at D such that BD : DC = 4 : 5. If the area of ΔABD = 60 cm^{2}, then the area of ΔADC is (SSC CGL 1st Sit. 2015)
Two circles of radii 5 cm and 3 cm touch externally, then the ratio in which the direct common tangent to the circles divides externally the line joining the centres of the circles is: (SSC CHSL 2015)
In ΔABC, AB = BC = K, AC = √2 K, then ΔABC is a: (SSC CHSL 2015)
The distance between centres of two circles of radii 3 cm and 8 cm is 13 cm. If the points of contact of a direct common tangent to the circles are P and Q, then the length of the lien segment PQ is: (SSC CHSL 2015)
ABCD is a square. Draw a triangle QBC on side BC considering BC as base and draw a triangle PAC on AC as its base such that Δ QBC ~ Δ PAC.
(SSC CHSL 2015)
In ΔABC, ∠B = 60°, and ∠C = 40°; AD and AE are respectively the bisector of ∠A and perpendicular on BC. The measure of ∠EAD is: (SSC CHSL 2015)
The diagonal of a quadrilateral shaped field is 24m an d the perpendiculars dropped on it from the remaining opposite vertices are 8m and 13m. The area of the field is: (SSC Sub. Ins. 2015)
The perimeters of two similar triangles are 30 cm and 20cm respectively. If one side of the first triangle is 9cm. Determine the corresponding side of the second triangle: (SSC Sub. Ins. 2015)
Two isosceles triangles have equal vertical angles and their areas are in the ratio 9 : 16. Then the ratio of their corresponding heights is: (SSC Sub. Ins. 2015)
Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Then the distance between their centres is: (SSC Sub. Ins. 2015)
If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19cm and AC = 22cm then the length of BC is: (SSC Sub. Ins. 2015)
If two circles of radii 9 cm and 4 cm touch externally, then the length of a common tangent is (SSC CGL 1st Sit. 2014)
The interior angle of a regular polygon is 140°. The number of sides of that polygon is (SSC CGL 1st Sit. 2014)
Two parallel chords of a circle of diameter 20 cm are 12 cm and 16 cm long. If the chords are in the same side of the centre, then the distance between them is (SSC CGL 1st Sit. 2014)
If O is the incentre of ΔABC; if ∠BOC = 120°, then the measure of ∠BAC is (SSC CGL 1st Sit. 2014)
In ΔABC, ∠A < ∠B. The altitude to the base divides vertex angle C into two parts C_{1} and C_{2}, with C_{2} adjacent to BC.
Then (SSC CGL 1st Sit. 2014)
In a circle with centre O, AB is a chord, and AP is a tangent to the circle. If ∠AOB = 140°, then the measure of ∠PAB is (SSC CGL 1st Sit. 2014)
In ΔABC, E and D are points on sides AB and AC respectively such that ∠ABC = ∠ADE. If AE = 3 cm, AD = 2 cm and EB = 2 cm, then length of DC is (SSC CGL 1st Sit. 2014)
In a quadrilateral ABCD, the bisectors of ∠A and ∠B meet at O. If ∠C = 70° and ∠D = 130°, then measure of ∠AOB is (SSC CGL 1st Sit. 2014)
Two circles intersect each other at the points A and B. A straight line parallel to AB intersects the circles at C, D, E and F. If CD = 4.5 cm, then the measure of EF is (SSC CHSL 2014)
159 docs268 tests

159 docs268 tests
